# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068219:0009 # Permalink to this reading: https://leibnizlegible.com/page/00068219:0009?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 6 # Folio 5r, page id 00068219:0009 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 4v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068219&page=9 # Source image: https://digitale-sammlungen.gwlb.de/content/00068219/jpgs/default/00000009.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine # Lines: 67 recognised, mean confidence 0.83 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. Nunc ut valorem literarum radicem seu aequ. 3 ingredicubium inveniamus, ita opinor commodissime procedemqu: ope aequationum H1. et 11. tollamus C. fet. Nimorum (6 (12) en dividatur primum aequ. I1 per aequ. 1o. fiet: aequ seu l 3 aequ C (14) B 8b256 e5 Ergo c aequam 862 9 (16) 641) 1 5 s 8bI ( (15) 512(6f18 et C aequ C 15 17 512 bF18 sed per aequ. 10. est = C aequ. 8b e. Ergo per 15 erit 8b aequ 20 (18) 15 vel e aequi b.f1d. jam loco b. e. f. substituantur ecrum valores ex aequationibus: 5. 8. 9. fiet. 8, 12 ((19) (20) 16n p aequ r + m, (3) WW+p, vel _Yrn WAp, W + p aqu. 2n p 2 (21) 45 vel n aequ Vrim, m+ pe x W + p 2β p3. 2l L Terravimus in praecedenti folio cum initio hunc calculum fageremu, ponendo Y pro- Faciamus W+ p β aequ 2p3. contrahendi caleuli causa, ipsa litera B. numerum arbitrarium significante, et habebitur valor ipsius p aequatione plana: et ex aequ. 2 1. fiet 2 13 n aequ ex aequ 22. restant adhuc duae aequationes (24) Una: n aequ Y+ + 2mp3 per aequ. 7. (16) altera (3 aequ. ( + 2mn ex aequ 6. Jam per equ. et erat c’equ e 5 et ex aqui pro b2 s et substituendo vatores, fit jam jam per aequo 14 erat C3 aequ. = 8 b256 e , seu =erm, uetp eqo Frmn. 2 y2 p3 sed ad hoc prestandum non satisnullae supersunt arbitrariaeqe nisi omissis aequationibus 22. 23. redeamus ad aequ. 20. et 21. sed facile conjicerelicet nihil aliud ex hoc calculo duci posse, quam quod jam notum est